A free-falling object has position function s(t) = - 16t2 + 25 where s is in feet and t is measured in seconds. Find the acceleration.

Q: The sales function for a product is given by S(x) = 119 + 23.1x² – 0.7x³, where x represents…

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Q: y=8x-x³ 12) Where is the function concave down?

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Q: The time (T) it takes to plant rice in an acre varies inversely as the number of farm workers (W).…

A: The time (T) it takes to plant rice in an acre varies inversely as the number of farm workers (W).…

Q: Find f(-2). f(x)=3x2 - 8x + 7 A) B) 21 35 D) 38 3,

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Q: The revenue for a company producing friendship bracelets is given by f(x) = -15x - 30x + 200 %3D…

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Q: Differentiate the function. Зх- 1 y= 7x + 8 y' =D

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Q: An accessories company finds that the revenue, in dollars, from the sale of x belts is given by R(x)…

A: Given query is to find the rate of change of average revenue at x =176.

Q: The average cost of tuition and fees at public four-year colleges in the United States can be…

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Q: f(t) = t4 – 8t f'(a) =

A: Given that f(t)=t^4-8t

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Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(x)…

A: Given f(x)=1.8208e0.3387xGiven f(x)=$6 billion

Q: A race car driving under the caution flag at 80 feet per second begins to accelerate at a constant…

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: Differentiate. 7t f(t) t3 - t - 1 f'(t) =

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Q: f'(x) = 6Vx ; f(1) = 7,

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Q: The revenue for a company producing friendship bracelets is given by f(x) = -15x2 - 30x + 200 %3D…

A: Given:- Revenue function f(x) = -15x2-30x+200 Cost function y=5x-12 x is price in dollars for each…

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A: Introduction: - The point of inflection, also known as the inflection point, is the point at which…

Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(æ)…

A: Given: fx=1.8208e0.3387x To find the number of years when the exports reach $12 billion.

Q: Differentiate the function. B(y) = cy^-8 B'(y) = ?

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Q: Two hot air balloons are traveling along the same path away from a town, beginning from different…

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Q: The cost and revenue functions for producing and selling x units of a toaster oven are C(x) = 40x +…

A: Given, x units of toaster oven are produced and sold. the cost function is C(x)=40x+350,000 Revenue…

Q: Try to find a "guess function" for the equation y" – 4y = 16xe2". What happens when you plug in the…

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Q: Graph the function y = (x- 3)2 + 4 by transforming the base function y =. x?.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Checking to see if my answer is correct.

A: Given:

Q: Differentiate the function. A y = 2x>e²2x + 5xªe2x В У 3 5x (е2%) + бе2(20х3) y = (5xª)(2e²^)

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Q: A company's revenue from selling x units of an item is given as R = 1600x – 2a?. If sales are…

A: Consider the given revenue function, R=1600x-2x2 it is given that sales are increasing at the rate…

Q: The profit (P) realized by a company varies directly as the number of products it sells (s). If a…

A: This question is related to linear equation.

Q: d²y/dx² of the function y=(5x² – 3)(7x³ + x)

A: The given function is: y=(5x2-3)(7x3+x)=5x2(7x3+x)-3(7x3+x)=35x5-16x3-3x To use the product rule for…

Q: YOUR TURN!! Given the function f (x) (x + 5) + 8, ax² + %3D What is the equation of the function…

A: fx=x+52+8

Q: The average cost of tuition and fees at public four-year colleges in the United States can be…

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Q: A certain bakery has found that the daily demand for bran muffins is 17500/p where p is the price of…

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Q: -9 f(x)= V9-x Answer: V9-x?' (9-x²)}*²

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Q: Differentiate the function y = e0.3t

A: This question is related to differentiation, We will solve it using given information.

Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately f(z)…

A: In year 2002 , exports will reach $8.5 billion.

Q: y=F(x) -8-

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Q: A minute ad during a campaign in 1973 cost​ $200,000. The price tag for a​ 30-second ad slot during…

A: We are given that the cost of 30-second slot of advertising for a campaign can be modeled by…

Q: r2 16 Use the function f(a) - to fill in the table: %3D

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Q: G F

A: We are given the following figure.   We know that…

Q: The profit P for a company producing x units is P = −0.8x^2 + 324x − 2000 Use differentials to find…

A: Given that, the profit function is Px=-0.8x2+324x-2000. Differentiate the function…

Q: Differentiate the function. h(t) = √√t - 7et -6 (F) h'(t) = -7e² =-- (1) t

A: The given function is: ht=t7-7et   As we know that; The Sum/Difference Rule: f±g'=f'±g' The Power…

Q: Differentiate the function. B(y) =cy-6

A: We have to differentiate the function: By=cy-6 We know formula of differentiation,…

Q: y varies directly as x such that when y = 36, x = 20. When x = 35, what is the value of y?

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Q: The revenue R received by a company selling x td phones per week is given by the function…

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Q: Between 2005 and 2009, the percentage of people who own a home has changed drastically from state to…

A: Given: Between 2005 and 2009, the percentage of people who own a home has changed drastically from…

Q: The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per…

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Q: A minute ad during a campaign in 1973 cost $200,000. The price tag for a 30-second ad slot during a…

A: We are given that the cost of 30-second slot of advertising for a campaign can be modeled by…

Q: The profit per acre from a grove of orange trees is given by  x(290 − x) dollars,  where x is the…

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Q: The yield in bushels from a grove of orange trees is given by Y = x(1200 - x), where x is the number…

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Q: A population of bacteria is growing according to the equation P(t)=300e0.14tP(t)=300e0.14t. Estimate…

A: Given P(t) = 300 e^0.14t Given P(t) = 685 Now 685 = 300 e^0.14t         685/300 = e^0.14t…

Q: x =t5 -10t², when will the acceleration be zero?

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